document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203120>Question 1203120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following quadratic equations (if possible)*True or False* using the emojis as independent variables. Feel free to copy and paste the soccer ball to show your work.\r<BR>\n" );
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document.write( "a.) 12⚽ ² - 75 =0\r<BR>\n" );
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document.write( "⚽ = ?\r<BR>\n" );
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document.write( "b.) 3⚽ ² +7= -7⚽\r<BR>\n" );
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document.write( "⚽ = ?\r<BR>\n" );
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document.write( "c.) - 5(⚽+3)² +9= -71\r<BR>\n" );
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document.write( "⚽ = ?\r<BR>\n" );
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document.write( "d.) 3⚽ ² - 5⚽+ 15= - 3⚽ ² +6⚽+50\r<BR>\n" );
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document.write( "⚽ = ?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838428 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838428\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Why is your teacher insisting on you use emojis as the variable?<BR>\n" );
document.write( "A simple letter would suffice.\r<BR>\n" );
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document.write( "I'll do part (a) to get you started.<BR>\n" );
document.write( "12x^2 - 75 = 0<BR>\n" );
document.write( "12x^2 = 75<BR>\n" );
document.write( "x^2 = 75/12<BR>\n" );
document.write( "x^2 = 6.25<BR>\n" );
document.write( "x = plus minus sqrt(6.25)<BR>\n" );
document.write( "x = sqrt(6.25) or x = -sqrt(6.25)<BR>\n" );
document.write( "x = 2.5 or x = -2.5<BR>\n" );
document.write( "x = 5/2 or x = -5/2\r<BR>\n" );
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document.write( "Another approach for part (a) involves the quadratic formula<BR>\n" );
document.write( "a = 12, b = 0, c = -75<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29 ALIGN=MIDDLE  ALT=\"x+=+%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-0%2B-sqrt%28%280%29%5E2-4%2812%29%28-75%29%29%29%2F%282%2812%29%29 ALIGN=MIDDLE  ALT=\"x+=+%28-0%2B-sqrt%28%280%29%5E2-4%2812%29%28-75%29%29%29%2F%282%2812%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%280%2B-++60%29%2F%2824%29 ALIGN=MIDDLE  ALT=\"x+=+%280%2B-++60%29%2F%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%280%2B60%29%2F%2824%29 ALIGN=MIDDLE  ALT=\"x+=+%280%2B60%29%2F%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%280-60%29%2F%2824%29 ALIGN=MIDDLE  ALT=\"x+=+%280-60%29%2F%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%2860%29%2F%2824%29 ALIGN=MIDDLE  ALT=\"x+=+%2860%29%2F%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-60%29%2F%2824%29 ALIGN=MIDDLE  ALT=\"x+=+%28-60%29%2F%2824%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+5%2F2 ALIGN=MIDDLE  ALT=\"x+=+5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-5%2F2 ALIGN=MIDDLE  ALT=\"x+=+-5%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+2.5 ALIGN=MIDDLE  ALT=\"x+=+2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2.5 ALIGN=MIDDLE  ALT=\"x+=+-2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The quadratic formula involves more work, compared to the first method, but it's good to get practice with alternative routes. <BR>\n" );
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